On a conjecture of Schnoebelen

Antonio Cano Gómez (1) , Jean-Eric Pin (2)

1 Departamento de Sistemas Informáticos y Computación [Valencia]
2 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications

The notion of sequential and parallel decomposition of a language over a set of languages was introduced by Schnoebelen. A language is decomposable if it belongs to a finite set of languages S such that each member of S admits a sequential and parallel decomposition over S. We disprove a conjecture of Schnoebelen concerning decomposable languages and establish some new properties of these languages.

Mots clés: shuffle product; regular languages; conjecture of Schnoebelen

Domaines: Mathématique discrète [cs.DM]

Antonio Cano Gómez, Jean-Eric Pin. On a conjecture of Schnoebelen. 2003, pp.35--54. ⟨hal-00112692⟩